Following the method [1]}, to calculate the transport coefficients, we need to generate the electric and heat currents in the spatial directions. To achieve this, we consider the small perturbation ansatz of the form as follows:
\(&&g_{tx}\rightarrow \delta g_{tx}(r) \nonumber \\&&g_{rx}\rightarrow r^2\delta g_{rx}(r)\nonumber \\&&A_x\rightarrow -Et+\delta A_{x}(r)\nonumber \\&&\chi _1\rightarrow kx+\delta \chi (r). \) 
